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Finding the Fourth Proportional to 11,799.12, 16,264.98 and 9,699.60

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Solution

The fourth proportional to 11,799.12, 16,264.98 and 9,699.60 is: 13,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.12 : 16,264.98 = 9,699.60 : x
  2. Step 2: Convert to fraction form
    11,799.12/16,264.98 = 9,699.60/x
  3. Step 3: Cross multiply
    11,799.12x = 16,264.98 × 9,699.60
  4. Step 4: Simplify right side
    11,799.12x = 157,763,800.01
  5. Step 5: Solve for x
    x = 157,763,800.01/11,799.12
  6. Step 6: Final answer
    x = 13,370.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.